Question

For $A \in L(V,V)$ where $(V, (\cdot,\cdot))$ is an inner prod space, $\exists !$ $z(x)$ such that $(x,Ay) = (z(x), y)$.

score 48 · Answer 1 · 2026-03-22 03:16:09

48

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For $A \in L(V,V)$ where $(V, (\cdot,\cdot))$ is an inner prod space, $\exists !$ $z(x)$ such that $(x,Ay) = (z(x), y)$.

Published on 22 Mar 2026 - 3:16

score 1.2k · Answer 2 · 2026-03-17 12:20:16

1.2k

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Linear Algebra: Cross Product w/ Matrices

Published on 17 Mar 2026 - 12:20

score 105 · Answer 3 · 2018-02-03 18:30:00

Prove that $perp_\vec{n}(\vec{x})=\frac{\vec{x}\cdot\vec{a}}{||\vec{a}||^2}\vec{a}+\frac{\vec{x}\cdot\vec{b}}{||\vec{b}||^2}\vec{b}$

score 3k · Answer 4 · 2026-03-25 04:19:10

3k

Views

What's an intuitive explanation behind cross products being vectors, when dot products are not?

Published on 25 Mar 2026 - 4:19

score 37 · Answer 5 · 2018-02-04 13:01:10

37

Views

Different vector "product" and its geometric significance

Published on 04 Feb 2018 - 13:01

score 105 · Answer 6 · 2018-02-04 14:23:35

105

Views

Circumcircle of triangle $ABC$

Published on 04 Feb 2018 - 14:23

score 919 · Answer 7 · 2018-02-04 23:24:48

919

Views

Linear Algebra - are these subspaces?

Published on 04 Feb 2018 - 23:24

score 153 · Answer 8 · 2026-03-25 06:13:05

if $\vec{x},\vec{y} \in \Bbb{R^4}$ with $\vec{x},\vec{y}$ being linearly independent prove that there exists a $\vec{a}$ that is orthogonal to both?

score 192 · Answer 9 · 2026-03-22 05:12:26

192

Views

Slope of a line as a row vector

Published on 22 Mar 2026 - 5:12

score 35 · Answer 10 · 2018-02-05 07:43:04

35

Views

Solving vector equations.

Published on 05 Feb 2018 - 7:43

score 492 · Answer 11 · 2026-03-25 01:31:11

492

Views

Proving that the inverse of a matrix $H$ is itself

Published on 25 Mar 2026 - 1:31

score 35 · Answer 12 · 2018-02-05 10:34:04

35

Views

Solving vector equations

Published on 05 Feb 2018 - 10:34

score 359 · Answer 13 · 2026-03-25 01:34:03

359

Views

Understanding the equality in triangle inequality.

Published on 25 Mar 2026 - 1:34

score 52 · Answer 14 · 2026-03-17 11:35:07

52

Views

HitTest - Calculate offset created by perspective.

Published on 17 Mar 2026 - 11:35

score 267 · Answer 15 · 2026-03-25 01:35:28

267

Views

Similarity of nested triangles

Published on 25 Mar 2026 - 1:35

List Question

For $A \in L(V,V)$ where $(V, (\cdot,\cdot))$ is an inner prod space, $\exists !$ $z(x)$ such that $(x,Ay) = (z(x), y)$.

Linear Algebra: Cross Product w/ Matrices

Prove that $perp_\vec{n}(\vec{x})=\frac{\vec{x}\cdot\vec{a}}{||\vec{a}||^2}\vec{a}+\frac{\vec{x}\cdot\vec{b}}{||\vec{b}||^2}\vec{b}$

What's an intuitive explanation behind cross products being vectors, when dot products are not?

Different vector "product" and its geometric significance

Circumcircle of triangle $ABC$

Linear Algebra - are these subspaces?

if $\vec{x},\vec{y} \in \Bbb{R^4}$ with $\vec{x},\vec{y}$ being linearly independent prove that there exists a $\vec{a}$ that is orthogonal to both?

Slope of a line as a row vector

Solving vector equations.

Proving that the inverse of a matrix $H$ is itself

Solving vector equations

Understanding the equality in triangle inequality.

HitTest - Calculate offset created by perspective.

Similarity of nested triangles

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